Answer: Volume is 4308.1 in³
Step-by-step explanation: Volume is pii· r²·h = 3.14 · (14 in)²·7 in
Answer:
31
Step-by-step explanation:
Answer:
r= 
Step-by-step explanation:
The sum to infinity of a geometric series is calculated as
S∞ = 
; | r | < 1
where a₁ is the first term and r the common ratio
here a₁ = 15 and S∞ = 45 , then
45 = 
( multiply both sides by (1 - r ) )
45(1 - r) = 15 ( divide both sides by 45 )
1 - r = 
= 
( subtract 1 from both sides )
- r = - 1 = - ( multiply both sides by - 1 )
r =
Answer:
c. 9 det A
Step-by-step explanation:
Given the following data;
Since A is a square matrix of order 2, we know that n = 2
K = 3
For any scalar k;
∣kA∣ = k^{n} ∣A∣
<em>Substituting into the equation;</em>
∣-3A∣ = -3²∣A∣
Simplifying, we have;
∣-3A∣ = 9∣A∣
= 9 detA
<em>Therefore, det (-3A) = 9 detA</em>
THe given statement is " the measures of an exterior angle and the adjacent interior angle add up to 360 because they form a linear pair " .
And in a linear pair, the sum of the measures of exterior angle and adjacent interior angle is 180.
But in the statement, it is given that the sum is 360 degree.
So the given statement is false .
